Difference between revisions of "Signal Representation"

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The book focuses on the mathematical description of typical signals in communications engineering, which can alternatively be in the time or frequency domain.  
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The book focuses on the mathematical description of typical signals in Communications Engineering, which can alternatively be in the time or frequency domain.  
 
*The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book <br>&nbsp; &nbsp; (for example:&nbsp; Laplace transform,&nbsp; Z-transform,&nbsp; Hilbert transform).  
 
*The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book <br>&nbsp; &nbsp; (for example:&nbsp; Laplace transform,&nbsp; Z-transform,&nbsp; Hilbert transform).  
*Here we refer to the book&nbsp;[[Lineare_zeitinvariante_Systeme|$\text{Linear and Time-Invariant Systems}$]]&nbsp;.
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*Here we refer to the book&nbsp;[[Lineare_zeitinvariante_Systeme|"Linear and Time-Invariant Systems"]]&nbsp;.
  
  
The subject matter corresponds to a&nbsp; $\text{lecture with two semester hours per week (SWS) and one additional SWS exercise}$.   
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The subject matter corresponds to a&nbsp; $\text{lecture with two semester hours per week (sh/w) and one additional&nbsp; sh/w&nbsp; exercise}$.   
  
 
Here is a table of contents based on the&nbsp; $\text{five main chapters}$&nbsp; with a total of&nbsp; $\text{19 individual chapters}$.
 
Here is a table of contents based on the&nbsp; $\text{five main chapters}$&nbsp; with a total of&nbsp; $\text{19 individual chapters}$.
  
===Inhalt===
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===Contents===
 
{{Collapsible-Kopf}}
 
{{Collapsible-Kopf}}
 
{{Collapse1| header=Basic Terms of Communications Engineering
 
{{Collapse1| header=Basic Terms of Communications Engineering
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*[[/Principles of Communication/]]
 
*[[/Principles of Communication/]]
 
*[[/Signal Classification/]]
 
*[[/Signal Classification/]]
*[[/Calculating With Complex Numbers/]]
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*[[/Calculating with Complex Numbers/]]
 
}}
 
}}
 
{{Collapse2 | header=Periodic Signals
 
{{Collapse2 | header=Periodic Signals
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{{Collapse3 | header=Aperiodic Signals - Pulses
 
{{Collapse3 | header=Aperiodic Signals - Pulses
 
|submenu=
 
|submenu=
*[[/Fourier Transform and Its Inverse/]]
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*[[/Fourier Transform and its Inverse/]]
 
*[[/Special Cases of Pulses/]]
 
*[[/Special Cases of Pulses/]]
 
*[[/Fourier Transform Theorems/]]
 
*[[/Fourier Transform Theorems/]]
 
*[[/The Convolution Theorem and Operation/]]
 
*[[/The Convolution Theorem and Operation/]]
 
}}
 
}}
{{Collapse4 | header=Bandpass Signals
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{{Collapse4 | header=Band-Pass Signals
 
|submenu=
 
|submenu=
*[[/Differences and Similarities of LP and BP Signals/]]
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*[[/Differences and Similarities of Low-Pass and Band-Pass Signals/]]
*[[/Analytical Signal and Its Spectral Function/]]
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*[[/Analytical Signal and its Spectral Function/]]
*[[/Equivalent Low Pass Signal and Its Spectral Function/]]
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*[[/Equivalent Low-Pass Signal and its Spectral Function/]]
 
}}
 
}}
 
{{Collapse5 | header=Time and Frequency-Discrete Signal Representation
 
{{Collapse5 | header=Time and Frequency-Discrete Signal Representation
 
|submenu=
 
|submenu=
*[[/Time Discrete Signal Representation/]]
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*[[/Discrete-Time Signal Representation/]]
 
*[[/Discrete Fourier Transform (DFT)/]]
 
*[[/Discrete Fourier Transform (DFT)/]]
*[[/Possible Errors When Using DFT/]]
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*[[/Possible Errors when using DFT/]]
 
*[[/Spectrum Analysis/]]
 
*[[/Spectrum Analysis/]]
 
*[[/Fast Fourier Transform (FFT)/]]
 
*[[/Fast Fourier Transform (FFT)/]]
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*[https://en.lntwww.de/Category:Signal_Representation:_Exercises  $\text{Exercises}$]
 
*[https://en.lntwww.de/Category:Signal_Representation:_Exercises  $\text{Exercises}$]
 
*[[LNTwww:Learning_Videos_Related_to_Signal_Representation|$\text{Learning videos}$]]
 
*[[LNTwww:Learning_Videos_Related_to_Signal_Representation|$\text{Learning videos}$]]
*[[LNTwww:Applets_Related_to_Signal_Representation|$\text{New designed Applets}$]]&nbsp; (based on HTML5 and JavaScript, also executable on smartphones)
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*[[LNTwww:Applets_Related_to_Signal_Representation|$\text{Applets}$]]&nbsp;  
 
<br><br>
 
<br><br>
 
$\text{Further links:}$
 
$\text{Further links:}$
 
<br><br>
 
<br><br>
$(1)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Signaldarstellung|$\text{Recommended reading for the book}$]]
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$(1)$&nbsp; &nbsp; [[LNTwww:Bibliography_to_Signal_Representation|$\text{Bibliography for the book}$]]
  
$(2)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Signaldarstellung|$\text{General notes about the book}$]] &nbsp; (authors,&nbsp; other participants,&nbsp; materials as a starting point for the book,&nbsp; list of sources)
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$(2)$&nbsp; &nbsp; [[LNTwww:General_notes_about_Signal_Representation|$\text{General notes about the book}$]] &nbsp; (authors,&nbsp; other participants,&nbsp; materials as a starting point for the book,&nbsp; list of sources)
 
<br><br>
 
<br><br>
  

Revision as of 16:53, 1 November 2021

The book focuses on the mathematical description of typical signals in Communications Engineering, which can alternatively be in the time or frequency domain.

  • The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book
        (for example:  Laplace transform,  Z-transform,  Hilbert transform).
  • Here we refer to the book "Linear and Time-Invariant Systems" .


The subject matter corresponds to a  $\text{lecture with two semester hours per week (sh/w) and one additional  sh/w  exercise}$.

Here is a table of contents based on the  $\text{five main chapters}$  with a total of  $\text{19 individual chapters}$.

Contents

In addition to these theory pages, we also offer tasks and multimedia modules on this topic, which could help to clarify the teaching material:



$\text{Further links:}$

$(1)$    $\text{Bibliography for the book}$

$(2)$    $\text{General notes about the book}$   (authors,  other participants,  materials as a starting point for the book,  list of sources)